Least Common Multiple of 51/684, 570/458, 238/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/684, 570/458, 238/671 quickly i.e. 67830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/684, 570/458, 238/671 is 67830.

LCM(51/684, 570/458, 238/671) = 67830

LCM of 51/684, 570/458, 238/671

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 51/684,570/458,238/671

Given numbers are 51/684,570/458,238/671

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 51,570,238

Least Common Multiple of Numerators i.e. LCM of 51,570,238 is 67830.

GCF of Denominators means GCF of 684,458,671 as per the given fractions.

GCF of 684,458,671 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,570,238

LCM of Fractions 51/684,570/458,238/671 is 67830

2 51, 570, 238
3 51, 285, 119
17 17, 95, 119
1, 95, 7

∴ So the LCM of the given numbers is 2 x 3 x 17 x 1 x 95 x 7 = 67830

Least Common Multiple of 51,570,238 with GCF Formula

Least Common Multiple of 51,570,238 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 51,570,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,570,238) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(51,570,238) x common factors =1 x 102 = 102

LCM(51,570,238) = ( 51 × 570 × 238 ) / 102

LCM(51,570,238) = 6918660 / 102

LCM(51,570,238) = 67830


Lets's calculate GCF of 684,458,671

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67830/1

Therefore the LCM of Fractions 51/684,570/458,238/671 is 67830

Greatest Common Factor of 684,458,671 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,458,671 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Greatest Common Factor

We found the factors 684,458,671 . The biggest common factor number is the GCF number.
So the greatest common factor 684,458,671 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 51/684, 570/458, 238/671

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 51/684, 570/458, 238/671?

Answer: LCM of Numerators as per given numbers 51/684, 570/458, 238/671 is

LCM of Numerators i.e. for 51,570,238 is 67830

GCF of denominators i.e. for 684,458,671 is 1.

Thus, LCM of Fractions is 67830.Finally, LCM of Fractions for 51/684, 570/458, 238/671 is 67830.